Take a look at the sentence again:

If Carlos had known that hail the size of golf balls would fall later that day, he would have __________ his shoulder pads and football helmet instead of his one good suit.

The sentence requires the past participle of wear, an irregular verb. Worn is the past participle form.

Verb Simple Present Simple Past Past Participle
wear wear(s) wore worn

Wore, the form you chose, is simple past. A simple past verb cannot have auxiliary verbs like would or have. Before you continue, review the rules for irregular verbs.

Try again to escape Grammar Hell!

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